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Simplifying 2(r + 5) = 10 + 4(r + 6) Reorder the terms: 2(5 + r) = 10 + 4(r + 6) (5 * 2 + r * 2) = 10 + 4(r + 6) (10 + 2r) = 10 + 4(r + 6) Reorder the terms: 10 + 2r = 10 + 4(6 + r) 10 + 2r = 10 + (6 * 4 + r * 4) 10 + 2r = 10 + (24 + 4r) Combine like terms: 10 + 24 = 34 10 + 2r = 34 + 4r Solving 10 + 2r = 34 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 10 + 2r + -4r = 34 + 4r + -4r Combine like terms: 2r + -4r = -2r 10 + -2r = 34 + 4r + -4r Combine like terms: 4r + -4r = 0 10 + -2r = 34 + 0 10 + -2r = 34 Add '-10' to each side of the equation. 10 + -10 + -2r = 34 + -10 Combine like terms: 10 + -10 = 0 0 + -2r = 34 + -10 -2r = 34 + -10 Combine like terms: 34 + -10 = 24 -2r = 24 Divide each side by '-2'. r = -12 Simplifying r = -12
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